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Finding the Fourth Proportional to 46,965.72, 70,404.48 and 15,779.16

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Solution

The fourth proportional to 46,965.72, 70,404.48 and 15,779.16 is: 23,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,965.72 : 70,404.48 = 15,779.16 : x
  2. Step 2: Convert to fraction form
    46,965.72/70,404.48 = 15,779.16/x
  3. Step 3: Cross multiply
    46,965.72x = 70,404.48 × 15,779.16
  4. Step 4: Simplify right side
    46,965.72x = 1,110,923,554.64
  5. Step 5: Solve for x
    x = 1,110,923,554.64/46,965.72
  6. Step 6: Final answer
    x = 23,653.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.